Question

According to genetic theory, the blossom color in the second generation of a certain cross of sweet peas should be red or white in a 3:1 ratio. that is, each plant has probability 3/4 of having red blossoms, and the blossom colors of separate plants are independent. (a) what is the probability that exactly seven out of ten of these plants have red blossoms? (round your answer to four decimal places.)

Answer 1

The formula that we will going to use is the formula of combination and this is can be done using the scientific calculate.
n = 12
p = 3/4 = 0.75
q = 1/4 = 0.25
P(red) = 12c9 * 0.75^9 * 0.25^3
= 220 * 0.07508 * 0.015625
= 0.2580

So the probability that exactly seven out of ten of these plants have red bloossoms is 0.2580.

The answer in this question is 0.2580